Find the value of x. Round the length to the nearest tenth. The diagram is not drawn to scale.
1 answer:
For the given triangle, the value of x is 2,880.2 m.
Step-by-step explanation:
Step 1:
The sum of the angles on a straight line is 90°. It is given that the sum of the upper sides angle and 10° is 90°.
So the triangle has an angle of 80° on the top side.
Step 2:
For the top side, the hypotenuse measures x m and the adjacent side measures 500 m.
To determine the value of x, we determine the cos of the given angle.
So rounding this off, we get the value of x is 2,880.2 m.
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Answer:
31.92%
Step-by-step explanation:
We are given;
Population mean; μ = $3.12
Sample mean; x¯ = $3.16
Sample size; n = 10
Standard deviation; σ = $0.27
Z-score formula is; z = (x¯ - μ)/(σ/√n)
z = (3.16 - 3.12)/(0.27/√10)
z = 0.04/(0.08538)
z ≈ 0.47
Now, the percent of other sample means, based on 10 gas stations, that would be greater than the one observed is;
P(x¯ > 3.12) = 1 - P(z < 0.47)
From z-table attached P(z < 0.47) = 0.68082
Thus;
P(z > 0.47) = 1 - 0.68082
P(z > 0.47) ≈ 0.3192
This expressed in percentage is 31.92%
